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Finding the Fourth Proportional to 13,640.64, 18,837.60 and 12,864.96

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Solution

The fourth proportional to 13,640.64, 18,837.60 and 12,864.96 is: 17,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.64 : 18,837.60 = 12,864.96 : x
  2. Step 2: Convert to fraction form
    13,640.64/18,837.60 = 12,864.96/x
  3. Step 3: Cross multiply
    13,640.64x = 18,837.60 × 12,864.96
  4. Step 4: Simplify right side
    13,640.64x = 242,344,970.50
  5. Step 5: Solve for x
    x = 242,344,970.50/13,640.64
  6. Step 6: Final answer
    x = 17,766.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.